|
This article is cited in 30 scientific papers (total in 31 papers)
Progress in the topology of real algebraic varieties over the last six years
O. Ya. Viro
 Full text:
PDF file (1615 kB)
References:
PDF file
HTML file
English version:
Russian Mathematical Surveys, 1986, 41:3, 55–82
Bibliographic databases:
   
UDC:
515.16
MSC: 14P25, 14Q05, 14Hxx, 14Nxx
Received: 22.05.1985
Citation:
O. Ya. Viro, “Progress in the topology of real algebraic varieties over the last six years”, Uspekhi Mat. Nauk, 41:3(249) (1986), 45–67; Russian Math. Surveys, 41:3 (1986), 55–82
Citation in format AMSBIB
\Bibitem{Vir86}
\by O.~Ya.~Viro
\paper Progress in the topology of real algebraic varieties over the last six years
\jour Uspekhi Mat. Nauk
\yr 1986
\vol 41
\issue 3(249)
\pages 45--67
\mathnet{http://mi.mathnet.ru/umn2078}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=854239}
\zmath{https://zbmath.org/?q=an:0619.14015}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1986RuMaS..41...55V}
\transl
\jour Russian Math. Surveys
\yr 1986
\vol 41
\issue 3
\pages 55--82
\crossref{https://doi.org/10.1070/RM1986v041n03ABEH003317}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986H544800003}
Linking options:
http://mi.mathnet.ru/eng/umn2078 http://mi.mathnet.ru/eng/umn/v41/i3/p45
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
A. B. Korchagin, E. I. Shustin, “Affine curves of degree 6 and smoothings of a nondegenerate sixth order singular point”, Math. USSR-Izv., 33:3 (1989), 501–520
 -
V. N. Karpushkin, “Topology of the zeros of eigenfunctions”, Funct. Anal. Appl., 23:2 (1989), 218–220
-
E. I. Shustin, “New restrictions on the topology of real curves of degree a multiple of 8”, Math. USSR-Izv., 37:2 (1991), 421–443
-
V. N. Karpushkin, “Bounds for the Betti numbers of a level surface of a harmonic polynomial”, Funct. Anal. Appl., 26:4 (1992), 300–302
-
V. A. Krasnov, “On cohomology classes defined by the real points of a real algebraic $\operatorname{GM}$-surface”, Russian Acad. Sci. Izv. Math., 43:2 (1994), 385–395
-
V. A. Krasnov, “On equivariant Grothendieck cohomology of a real algebraic variety, and its applications”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 461–477
-
A. I. Degtyarev, V. I. Zvonilov, “Rigid isotopy classification of real algebraic curves of bidegree $(3,3)$ on quadrics”, Math. Notes, 66:6 (1999), 670–674
-
V. A. Krasnov, “Real algebraic varieties without real points”, Izv. Math., 63:4 (1999), 757–790
-
S. Yu. Orevkov, “Link Theory and New Restrictions for $M$-Curves of Degree Nine”, Funct. Anal. Appl., 34:3 (2000), 229–231
 -
A. I. Degtyarev, V. M. Kharlamov, “Topological properties of real algebraic varieties: du coté de chez Rokhlin”, Russian Math. Surveys, 55:4 (2000), 735–814
-
V. I. Arnol'd, “I. G. Petrovskii, Hilbert's topological problems, and modern mathematics”, Russian Math. Surveys, 57:4 (2002), 833–845
-
B. Chevallier, “Four $M$-Curves of Degree $\boldsymbol{8}$”, Funct. Anal. Appl., 36:1 (2002), 76–78
-
Welschinger, JY, “Real algebraic curves and flexible curves on regulated surfaces of base CP1”, Proceedings of the London Mathematical Society, 85 (2002), 367
-
Touze, SFL, “A flexible affine M-sextic which is algebraically unrealizable”, Journal of Algebraic Geometry, 11:2 (2002), 293
-
Ilia Itenberg, Eugenii Shustin, “Viro theorem and topology of real and complex combinatorial hypersurfaces”, Isr J Math, 133:1 (2003), 189
-
S. Yu. Orevkov, E. I. Shustin, “Pseudoholomorphic algebraically unrealizable curves”, Mosc. Math. J., 3:3 (2003), 1053–1083
-
E. Fortuna, P. Gianni, P. Parenti, C. Traverso, “Algorithms to compute the topology of orientable real algebraic surfaces”, Journal of Symbolic Computation, 36:3-4 (2003), 343
-
JIBIN LI, “HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS”, Int. J. Bifurcation Chaos, 13:01 (2003), 47
-
Itenberg, I, “Amoebas of algebraic varieties and curve enumeration (after G. Mikhalkin)”, Asterisque, 2004, no. 294, 335
-
E. Fortuna, P. Gianni, D. Luminati, “Algorithmical determination of the topology of a real algebraic surface”, Journal of Symbolic Computation, 38:6 (2004), 1551
-
Florens, V, “Signatures of colored links with application to real algebraic curves”, Journal of Knot Theory and Its Ramifications, 14:7 (2005), 883
-
O. Ya. Viro, “Whitney number of closed real algebraic affine curve of type I”, Mosc. Math. J., 6:1 (2006), 211–217
-
J. William Helton, Victor Vinnikov, “Linear matrix inequality representation of sets”, Comm Pure Appl Math, 60:5 (2007), 654
-
Brugalle, E, “Symmetric plane curves of degree 7: pseudoholomorphic and algebraic classifications”, Journal fur Die Reine und Angewandte Mathematik, 612 (2007), 129
-
Gilmer, PM, “ARF invariants of real algebraic curves”, Pacific Journal of Mathematics, 230:2 (2007), 297
-
Erwan Brugallé, Oliver Labs, “Surfaces with many solitary points”, Geom Dedicata, 2008
-
Fiedler-Le Touze, S, “M-curves of degree 9 with deep nests”, Journal of the London Mathematical Society-Second Series, 79 (2009), 649
-
“Introduction to tropical geometry”, Tropical Algebraic Geometry, Oberwolfach Seminars, 35, 2009, 1
-
S. Finashin, V. Kharlamov, “Topology of real cubic fourfolds”, Journal of Topology, 2010
-
Alexander Nabutovsky, “Non-recursive functions, knots “with thick ropes,” and self-clenching “thick” hyperspheres”, Comm Pure Appl Math, 48:4 (2010), 381
-
S. D'Mello, “Chord Diagrams and Generic Real Rational Planar Curves of Degree 4”, International Mathematics Research Notices, 2015
|
| Number of views: |
| This page: | 500 | | Full text: | 243 | | References: | 63 | | First page: | 4 |
|
Terms of Use